Congrats on finding a gem. I often wonder the same thing (Why would anyone "lose"/dump such a magnificent animal?) about our rescue Miles. He was picked up running in a field - starving to death. He's since been nursed back to health and with his improvement has come mischievous behavior!
You just have to be the pack leader and she'll learn to respect you, your things, and the other dogs. I moved from ATL a couple of years ago. But my parents live near Amicolola Falls and I can't wait to go visit them next month! We're taking both "our kids" (Lexi & Miles - both Basenji's). It will be a long drive… but worth it. My parents have our Doberman and it will be great to see them all play together!!